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Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities

Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type... Abstract Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities with respect to all basic norms. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

Fractional Representation Formulae Under Initial Conditions and Fractional Ostrowski Type Inequalities

Demonstratio Mathematica , Volume 48 (3) – Sep 1, 2015

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Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
2391-4661
eISSN
0420-1213
DOI
10.1515/dema-2015-0025
Publisher site
See Article on Publisher Site

Abstract

Abstract Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities with respect to all basic norms.

Journal

Demonstratio Mathematicade Gruyter

Published: Sep 1, 2015

References